1872533040 has 480 divisors, whose sum is σ = 7241203200. Its totient is φ = 399877632.

The previous prime is 1872533029. The next prime is 1872533053. The reversal of 1872533040 is 403352781.

1872533040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1872532992 and 1872533010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43547259 + ... + 43547301.

It is an arithmetic number, because the mean of its divisors is an integer number (15085840).

Almost surely, 2^1872533040 is an apocalyptic number.

1872533040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1872533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620601600).

1872533040 is an abundant number, since it is smaller than the sum of its proper divisors (5368670160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1872533040 is a wasteful number, since it uses less digits than its factorization.

1872533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1872533040 is about 43272.7748128081. The cubic root of 1872533040 is about 1232.5649956741.

The spelling of 1872533040 in words is "one billion, eight hundred seventy-two million, five hundred thirty-three thousand, forty".